On r*‐sequenceability and symmetric harmoniousness of groups. II | Zendy

Wang ChengDe | Zendy; Leonard Philip A. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

On r*‐sequenceability and symmetric harmoniousness of groups. II

Author(s) -

Wang ChengDe,

Leonard Philip A.

Publication year - 1995

Publication title -

journal of combinatorial designs

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.618

H-Index - 34

eISSN - 1520-6610

pISSN - 1063-8539

DOI - 10.1002/jcd.3180030409

Subject(s) - mathematics , prime (order theory) , nilpotent , abelian group , order (exchange) , pure mathematics , product (mathematics) , symmetric group , group (periodic table) , combinatorics , geometry , chemistry , finance , economics , organic chemistry

In this paper we investigate symmetric harmoniousness of groups and connections of this concept to the R *‐sequenceability of groups. We prove that, under suitable assumptions, the direct product of a symmetric harmonious group with a group that is R *‐sequenceable is R *‐sequenceable; we discuss the symmetric harmoniousness of abelian and of nilpotent groups; we also prove that, for a fixed odd prime p , all but possibly finitely many of the nonabelian groups of order pq ( q prime, q ≡ 1 (mod p )) are symmetric harmonious. © 1995 John Wiley & Sons, Inc.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research